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Finding the Fourth Proportional to 20,303.60, 30,422.46 and 10,429.16

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Solution

The fourth proportional to 20,303.60, 30,422.46 and 10,429.16 is: 15,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.60 : 30,422.46 = 10,429.16 : x
  2. Step 2: Convert to fraction form
    20,303.60/30,422.46 = 10,429.16/x
  3. Step 3: Cross multiply
    20,303.60x = 30,422.46 × 10,429.16
  4. Step 4: Simplify right side
    20,303.60x = 317,280,702.93
  5. Step 5: Solve for x
    x = 317,280,702.93/20,303.60
  6. Step 6: Final answer
    x = 15,626.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.